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Finding the Third Proportional to 66,680.25 and 144,807.75

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Solution

The third proportional to 66,680.25 and 144,807.75 is: 314,475.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,680.25 : 144,807.75 = 144,807.75 : x
  2. Step 2: Convert to fraction form
    66,680.25/144,807.75 = 144,807.75/x
  3. Step 3: Cross multiply
    66,680.25x = 144,807.75 × 144,807.75
  4. Step 4: Simplify right side
    66,680.25x = 20,969,284,460.06
  5. Step 5: Solve for x
    x = 20,969,284,460.06/66,680.25
  6. Step 6: Final answer
    x = 314,475.19

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.